What is the Greatest Common Factor of 61472 and 61489?

Greatest common factor (GCF) of 61472 and 61489 is 17.

GCF(61472,61489) = 17

We will now calculate the prime factors of 61472 and 61489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61472 and 61489.

How to find the GCF of 61472 and 61489?

We will first find the prime factorization of 61472 and 61489. After we will calculate the factors of 61472 and 61489 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 61489

Prime factors of 61489 are 17, 3617. Prime factorization of 61489 in exponential form is:

61489 = 17¹ × 3617¹

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 61489

List of positive integer factors of 61489 that divides 61472 without a remainder.

1, 17, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61472 and 61489. The biggest common factor number is the GCF number.
So the greatest common factor 61472 and 61489 is 17.

Also check out the Least Common Multiple of 61472 and 61489