What is the Greatest Common Factor of 51060 and 51076?

Greatest common factor (GCF) of 51060 and 51076 is 4.

GCF(51060,51076) = 4

We will now calculate the prime factors of 51060 and 51076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51060 and 51076.

How to find the GCF of 51060 and 51076?

We will first find the prime factorization of 51060 and 51076. After we will calculate the factors of 51060 and 51076 and find the biggest common factor number .

Step-1: Prime Factorization of 51060

Prime factors of 51060 are 2, 3, 5, 23, 37. Prime factorization of 51060 in exponential form is:

51060 = 2² × 3¹ × 5¹ × 23¹ × 37¹

Step-2: Prime Factorization of 51076

Prime factors of 51076 are 2, 113. Prime factorization of 51076 in exponential form is:

51076 = 2² × 113²

Step-3: Factors of 51060

List of positive integer factors of 51060 that divides 51060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 37, 46, 60, 69, 74, 92, 111, 115, 138, 148, 185, 222, 230, 276, 345, 370, 444, 460, 555, 690, 740, 851, 1110, 1380, 1702, 2220, 2553, 3404, 4255, 5106, 8510, 10212, 12765, 17020, 25530

Step-4: Factors of 51076

List of positive integer factors of 51076 that divides 51060 without a remainder.

1, 2, 4, 113, 226, 452, 12769, 25538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51060 and 51076. The biggest common factor number is the GCF number.
So the greatest common factor 51060 and 51076 is 4.

Also check out the Least Common Multiple of 51060 and 51076