What is the Greatest Common Factor of 61712 and 61724?

Greatest common factor (GCF) of 61712 and 61724 is 4.

GCF(61712,61724) = 4

We will now calculate the prime factors of 61712 and 61724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61712 and 61724.

How to find the GCF of 61712 and 61724?

We will first find the prime factorization of 61712 and 61724. After we will calculate the factors of 61712 and 61724 and find the biggest common factor number .

Step-1: Prime Factorization of 61712

Prime factors of 61712 are 2, 7, 19, 29. Prime factorization of 61712 in exponential form is:

61712 = 2⁴ × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 61724

Prime factors of 61724 are 2, 13, 1187. Prime factorization of 61724 in exponential form is:

61724 = 2² × 13¹ × 1187¹

Step-3: Factors of 61712

List of positive integer factors of 61712 that divides 61712 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 29, 38, 56, 58, 76, 112, 116, 133, 152, 203, 232, 266, 304, 406, 464, 532, 551, 812, 1064, 1102, 1624, 2128, 2204, 3248, 3857, 4408, 7714, 8816, 15428, 30856

Step-4: Factors of 61724

List of positive integer factors of 61724 that divides 61712 without a remainder.

1, 2, 4, 13, 26, 52, 1187, 2374, 4748, 15431, 30862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61712 and 61724. The biggest common factor number is the GCF number.
So the greatest common factor 61712 and 61724 is 4.

Also check out the Least Common Multiple of 61712 and 61724