What is the Greatest Common Factor of 61925 and 61930?

Greatest common factor (GCF) of 61925 and 61930 is 5.

GCF(61925,61930) = 5

We will now calculate the prime factors of 61925 and 61930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61925 and 61930.

How to find the GCF of 61925 and 61930?

We will first find the prime factorization of 61925 and 61930. After we will calculate the factors of 61925 and 61930 and find the biggest common factor number .

Step-1: Prime Factorization of 61925

Prime factors of 61925 are 5, 2477. Prime factorization of 61925 in exponential form is:

61925 = 5² × 2477¹

Step-2: Prime Factorization of 61930

Prime factors of 61930 are 2, 5, 11, 563. Prime factorization of 61930 in exponential form is:

61930 = 2¹ × 5¹ × 11¹ × 563¹

Step-3: Factors of 61925

List of positive integer factors of 61925 that divides 61925 without a remainder.

1, 5, 25, 2477, 12385

Step-4: Factors of 61930

List of positive integer factors of 61930 that divides 61925 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 563, 1126, 2815, 5630, 6193, 12386, 30965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61925 and 61930. The biggest common factor number is the GCF number.
So the greatest common factor 61925 and 61930 is 5.

Also check out the Least Common Multiple of 61925 and 61930