What is the Greatest Common Factor of 61452 and 61472?

Greatest common factor (GCF) of 61452 and 61472 is 4.

GCF(61452,61472) = 4

We will now calculate the prime factors of 61452 and 61472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61452 and 61472.

How to find the GCF of 61452 and 61472?

We will first find the prime factorization of 61452 and 61472. After we will calculate the factors of 61452 and 61472 and find the biggest common factor number .

Step-1: Prime Factorization of 61452

Prime factors of 61452 are 2, 3, 569. Prime factorization of 61452 in exponential form is:

61452 = 2² × 3³ × 569¹

Step-2: Prime Factorization of 61472

Prime factors of 61472 are 2, 17, 113. Prime factorization of 61472 in exponential form is:

61472 = 2⁵ × 17¹ × 113¹

Step-3: Factors of 61452

List of positive integer factors of 61452 that divides 61452 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242, 15363, 20484, 30726

Step-4: Factors of 61472

List of positive integer factors of 61472 that divides 61452 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 113, 136, 226, 272, 452, 544, 904, 1808, 1921, 3616, 3842, 7684, 15368, 30736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61452 and 61472. The biggest common factor number is the GCF number.
So the greatest common factor 61452 and 61472 is 4.

Also check out the Least Common Multiple of 61452 and 61472