What is the Greatest Common Factor of 51874 and 51884?

Greatest common factor (GCF) of 51874 and 51884 is 2.

GCF(51874,51884) = 2

We will now calculate the prime factors of 51874 and 51884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51874 and 51884.

How to find the GCF of 51874 and 51884?

We will first find the prime factorization of 51874 and 51884. After we will calculate the factors of 51874 and 51884 and find the biggest common factor number .

Step-1: Prime Factorization of 51874

Prime factors of 51874 are 2, 37, 701. Prime factorization of 51874 in exponential form is:

51874 = 2¹ × 37¹ × 701¹

Step-2: Prime Factorization of 51884

Prime factors of 51884 are 2, 7, 17, 109. Prime factorization of 51884 in exponential form is:

51884 = 2² × 7¹ × 17¹ × 109¹

Step-3: Factors of 51874

List of positive integer factors of 51874 that divides 51874 without a remainder.

1, 2, 37, 74, 701, 1402, 25937

Step-4: Factors of 51884

List of positive integer factors of 51884 that divides 51874 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 109, 119, 218, 238, 436, 476, 763, 1526, 1853, 3052, 3706, 7412, 12971, 25942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51874 and 51884. The biggest common factor number is the GCF number.
So the greatest common factor 51874 and 51884 is 2.

Also check out the Least Common Multiple of 51874 and 51884