What is the Greatest Common Factor of 61568 and 61580?

Greatest common factor (GCF) of 61568 and 61580 is 4.

GCF(61568,61580) = 4

We will now calculate the prime factors of 61568 and 61580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61568 and 61580.

How to find the GCF of 61568 and 61580?

We will first find the prime factorization of 61568 and 61580. After we will calculate the factors of 61568 and 61580 and find the biggest common factor number .

Step-1: Prime Factorization of 61568

Prime factors of 61568 are 2, 13, 37. Prime factorization of 61568 in exponential form is:

61568 = 2⁷ × 13¹ × 37¹

Step-2: Prime Factorization of 61580

Prime factors of 61580 are 2, 5, 3079. Prime factorization of 61580 in exponential form is:

61580 = 2² × 5¹ × 3079¹

Step-3: Factors of 61568

List of positive integer factors of 61568 that divides 61568 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 37, 52, 64, 74, 104, 128, 148, 208, 296, 416, 481, 592, 832, 962, 1184, 1664, 1924, 2368, 3848, 4736, 7696, 15392, 30784

Step-4: Factors of 61580

List of positive integer factors of 61580 that divides 61568 without a remainder.

1, 2, 4, 5, 10, 20, 3079, 6158, 12316, 15395, 30790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61568 and 61580. The biggest common factor number is the GCF number.
So the greatest common factor 61568 and 61580 is 4.

Also check out the Least Common Multiple of 61568 and 61580