What is the Greatest Common Factor of 62975 and 62986?

Greatest common factor (GCF) of 62975 and 62986 is 11.

GCF(62975,62986) = 11

We will now calculate the prime factors of 62975 and 62986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62975 and 62986.

How to find the GCF of 62975 and 62986?

We will first find the prime factorization of 62975 and 62986. After we will calculate the factors of 62975 and 62986 and find the biggest common factor number .

Step-1: Prime Factorization of 62975

Prime factors of 62975 are 5, 11, 229. Prime factorization of 62975 in exponential form is:

62975 = 5² × 11¹ × 229¹

Step-2: Prime Factorization of 62986

Prime factors of 62986 are 2, 7, 11, 409. Prime factorization of 62986 in exponential form is:

62986 = 2¹ × 7¹ × 11¹ × 409¹

Step-3: Factors of 62975

List of positive integer factors of 62975 that divides 62975 without a remainder.

1, 5, 11, 25, 55, 229, 275, 1145, 2519, 5725, 12595

Step-4: Factors of 62986

List of positive integer factors of 62986 that divides 62975 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 409, 818, 2863, 4499, 5726, 8998, 31493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62975 and 62986. The biggest common factor number is the GCF number.
So the greatest common factor 62975 and 62986 is 11.

Also check out the Least Common Multiple of 62975 and 62986