What is the Greatest Common Factor of 61475 and 61490?

Greatest common factor (GCF) of 61475 and 61490 is 5.

GCF(61475,61490) = 5

We will now calculate the prime factors of 61475 and 61490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61475 and 61490.

How to find the GCF of 61475 and 61490?

We will first find the prime factorization of 61475 and 61490. After we will calculate the factors of 61475 and 61490 and find the biggest common factor number .

Step-1: Prime Factorization of 61475

Prime factors of 61475 are 5, 2459. Prime factorization of 61475 in exponential form is:

61475 = 5² × 2459¹

Step-2: Prime Factorization of 61490

Prime factors of 61490 are 2, 5, 11, 13, 43. Prime factorization of 61490 in exponential form is:

61490 = 2¹ × 5¹ × 11¹ × 13¹ × 43¹

Step-3: Factors of 61475

List of positive integer factors of 61475 that divides 61475 without a remainder.

1, 5, 25, 2459, 12295

Step-4: Factors of 61490

List of positive integer factors of 61490 that divides 61475 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 43, 55, 65, 86, 110, 130, 143, 215, 286, 430, 473, 559, 715, 946, 1118, 1430, 2365, 2795, 4730, 5590, 6149, 12298, 30745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61475 and 61490. The biggest common factor number is the GCF number.
So the greatest common factor 61475 and 61490 is 5.

Also check out the Least Common Multiple of 61475 and 61490