What is the Greatest Common Factor of 61472 and 61480?

Greatest common factor (GCF) of 61472 and 61480 is 8.

GCF(61472,61480) = 8

We will now calculate the prime factors of 61472 and 61480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61472 and 61480.

How to find the GCF of 61472 and 61480?

We will first find the prime factorization of 61472 and 61480. After we will calculate the factors of 61472 and 61480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61480

Prime factors of 61480 are 2, 5, 29, 53. Prime factorization of 61480 in exponential form is:

61480 = 2³ × 5¹ × 29¹ × 53¹

Step-3: Factors of 61472

List of positive integer factors of 61472 that divides 61472 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

Step-4: Factors of 61480

List of positive integer factors of 61480 that divides 61472 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 53, 58, 106, 116, 145, 212, 232, 265, 290, 424, 530, 580, 1060, 1160, 1537, 2120, 3074, 6148, 7685, 12296, 15370, 30740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61472 and 61480. The biggest common factor number is the GCF number.
So the greatest common factor 61472 and 61480 is 8.

Also check out the Least Common Multiple of 61472 and 61480