What is the Greatest Common Factor of 62969 and 62980?

Greatest common factor (GCF) of 62969 and 62980 is 1.

GCF(62969,62980) = 1

We will now calculate the prime factors of 62969 and 62980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62969 and 62980.

How to find the GCF of 62969 and 62980?

We will first find the prime factorization of 62969 and 62980. After we will calculate the factors of 62969 and 62980 and find the biggest common factor number .

Step-1: Prime Factorization of 62969

Prime factors of 62969 are 62969. Prime factorization of 62969 in exponential form is:

62969 = 62969¹

Step-2: Prime Factorization of 62980

Prime factors of 62980 are 2, 5, 47, 67. Prime factorization of 62980 in exponential form is:

62980 = 2² × 5¹ × 47¹ × 67¹

Step-3: Factors of 62969

List of positive integer factors of 62969 that divides 62969 without a remainder.

Step-4: Factors of 62980

List of positive integer factors of 62980 that divides 62969 without a remainder.

1, 2, 4, 5, 10, 20, 47, 67, 94, 134, 188, 235, 268, 335, 470, 670, 940, 1340, 3149, 6298, 12596, 15745, 31490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62969 and 62980. The biggest common factor number is the GCF number.
So the greatest common factor 62969 and 62980 is 1.

Also check out the Least Common Multiple of 62969 and 62980