What is the Greatest Common Factor of 51207 and 51220?

Greatest common factor (GCF) of 51207 and 51220 is 13.

GCF(51207,51220) = 13

We will now calculate the prime factors of 51207 and 51220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51207 and 51220.

How to find the GCF of 51207 and 51220?

We will first find the prime factorization of 51207 and 51220. After we will calculate the factors of 51207 and 51220 and find the biggest common factor number .

Step-1: Prime Factorization of 51207

Prime factors of 51207 are 3, 13, 101. Prime factorization of 51207 in exponential form is:

51207 = 3¹ × 13² × 101¹

Step-2: Prime Factorization of 51220

Prime factors of 51220 are 2, 5, 13, 197. Prime factorization of 51220 in exponential form is:

51220 = 2² × 5¹ × 13¹ × 197¹

Step-3: Factors of 51207

List of positive integer factors of 51207 that divides 51207 without a remainder.

1, 3, 13, 39, 101, 169, 303, 507, 1313, 3939, 17069

Step-4: Factors of 51220

List of positive integer factors of 51220 that divides 51207 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 197, 260, 394, 788, 985, 1970, 2561, 3940, 5122, 10244, 12805, 25610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51207 and 51220. The biggest common factor number is the GCF number.
So the greatest common factor 51207 and 51220 is 13.

Also check out the Least Common Multiple of 51207 and 51220