What is the Greatest Common Factor of 51060 and 51074?

Greatest common factor (GCF) of 51060 and 51074 is 2.

GCF(51060,51074) = 2

We will now calculate the prime factors of 51060 and 51074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51060 and 51074.

How to find the GCF of 51060 and 51074?

We will first find the prime factorization of 51060 and 51074. After we will calculate the factors of 51060 and 51074 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 51074

Prime factors of 51074 are 2, 25537. Prime factorization of 51074 in exponential form is:

51074 = 2¹ × 25537¹

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 51074

List of positive integer factors of 51074 that divides 51060 without a remainder.

1, 2, 25537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51060 and 51074. The biggest common factor number is the GCF number.
So the greatest common factor 51060 and 51074 is 2.

Also check out the Least Common Multiple of 51060 and 51074