What is the Greatest Common Factor of 51970 and 51980?

Greatest common factor (GCF) of 51970 and 51980 is 10.

GCF(51970,51980) = 10

We will now calculate the prime factors of 51970 and 51980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51970 and 51980.

How to find the GCF of 51970 and 51980?

We will first find the prime factorization of 51970 and 51980. After we will calculate the factors of 51970 and 51980 and find the biggest common factor number .

Step-1: Prime Factorization of 51970

Prime factors of 51970 are 2, 5, 5197. Prime factorization of 51970 in exponential form is:

51970 = 2¹ × 5¹ × 5197¹

Step-2: Prime Factorization of 51980

Prime factors of 51980 are 2, 5, 23, 113. Prime factorization of 51980 in exponential form is:

51980 = 2² × 5¹ × 23¹ × 113¹

Step-3: Factors of 51970

List of positive integer factors of 51970 that divides 51970 without a remainder.

1, 2, 5, 10, 5197, 10394, 25985

Step-4: Factors of 51980

List of positive integer factors of 51980 that divides 51970 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 113, 115, 226, 230, 452, 460, 565, 1130, 2260, 2599, 5198, 10396, 12995, 25990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51970 and 51980. The biggest common factor number is the GCF number.
So the greatest common factor 51970 and 51980 is 10.

Also check out the Least Common Multiple of 51970 and 51980