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GCF (HCF) of 36 and 144

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 36 and 144?

Answer

GCF (HCF) of 36 and 144 is

36

Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

36 divides 144 (144 ÷ 36 = 4), so the GCF is the smaller number itself.

36 = 2² × 3²

144 = 2⁴ × 3²

Prime	36	144	Lowest power
2	2²	2⁴	2²
3	3²	3²	3²

GCF = 2² × 3² = 36

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 36 and 144. The GCF of 36 and 144 is 36 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/36--144/generated.jpg

GCF Table

Number 1	Number 2	GCF
36	42	6
36	43	1
36	44	4
36	45	9
36	46	2
36	47	1
36	48	12
36	49	1
36	50	2
36	51	3
36	53	1
36	54	18
36	55	1
36	56	4
36	59	1
36	60	12
36	63	9
36	64	4
36	66	6
36	80	4
36	81	9
36	84	12
36	90	18
36	100	4
36	120	12
36	121	1
36	132	12
36	144	36
36	162	18
36	900	36

FAQ

What is the Greatest Common Divisor of 36 and 144?

GCF (HCF) of 36 and 144 is 36

How to find the GCF of 36 and 144?

You can find the GCF of 36 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 144 is 36.

What prime factors do 36 and 144 share?

The prime factorizations of 36 and 144 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 36/144?

Divide the numerator and the denominator by the GCF 36: 36 ÷ 36 = 1 and 144 ÷ 36 = 4. So 36/144 in lowest terms is 1/4.