GCF (HCF) of 52 and 78

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 52 and 78?

Answer

GCF (HCF) of 52 and 78 is

Common factors: 1, 2, 13, 26

26 divides both: 52 ÷ 26 = 2, 78 ÷ 26 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

52 = 2² × 13

78 = 2 × 3 × 13

Prime	52	78	Lowest power
2	2²	2	2
3	—	3	—
13	13	13	13

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 13 = 26

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
52	63	1
52	64	4
52	65	13
52	66	2
52	67	1
52	68	4
52	69	1
52	70	2
52	71	1
52	72	4
52	73	1
52	74	2
52	75	1
52	76	4
52	77	1
52	78	26
52	79	1
52	80	4
52	81	1
52	82	2
52	83	1
52	84	4
52	85	1
52	86	2
52	87	1
52	88	4
52	89	1
52	90	2
52	91	13
52	92	4

FAQ

What is the Greatest Common Divisor of 52 and 78?

GCF (HCF) of 52 and 78 is 26

How to find the GCF of 52 and 78?

You can find the GCF of 52 and 78 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 78 is 26.

What prime factors do 52 and 78 share?

The prime factorizations of 52 and 78 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/78?

Divide the numerator and the denominator by the GCF 26: 52 ÷ 26 = 2 and 78 ÷ 26 = 3. So 52/78 in lowest terms is 2/3.

GCF (HCF) of 52 and 78

What is the Greatest Common Divisor of 52 and 78?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 52 and 78?

How to find the GCF of 52 and 78?

What prime factors do 52 and 78 share?

How does the GCF reduce the fraction 52/78?

See Also

Number 1	Number 2	GCF
52	63	1
52	64	4
52	65	13
52	66	2
52	67	1
52	68	4
52	69	1
52	70	2
52	71	1
52	72	4
52	73	1
52	74	2
52	75	1
52	76	4
52	77	1
52	78	26
52	79	1
52	80	4
52	81	1
52	82	2
52	83	1
52	84	4
52	85	1
52	86	2
52	87	1
52	88	4
52	89	1
52	90	2
52	91	13
52	92	4

Number 1	Number 2	GCF
52	63	1
52	64	4
52	65	13
52	66	2
52	67	1
52	68	4
52	69	1
52	70	2
52	71	1
52	72	4
52	73	1
52	74	2
52	75	1
52	76	4
52	77	1
52	78	26
52	79	1
52	80	4
52	81	1
52	82	2
52	83	1
52	84	4
52	85	1
52	86	2
52	87	1
52	88	4
52	89	1
52	90	2
52	91	13
52	92	4

Number 1	Number 2	GCF
52	63	1
52	64	4
52	65	13
52	66	2
52	67	1
52	68	4
52	69	1
52	70	2
52	71	1
52	72	4
52	73	1
52	74	2
52	75	1
52	76	4
52	77	1
52	78	26
52	79	1
52	80	4
52	81	1
52	82	2
52	83	1
52	84	4
52	85	1
52	86	2
52	87	1
52	88	4
52	89	1
52	90	2
52	91	13
52	92	4