What is the Greatest Common Factor of 50926 and 50932?

Greatest common factor (GCF) of 50926 and 50932 is 2.

GCF(50926,50932) = 2

We will now calculate the prime factors of 50926 and 50932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50926 and 50932.

How to find the GCF of 50926 and 50932?

We will first find the prime factorization of 50926 and 50932. After we will calculate the factors of 50926 and 50932 and find the biggest common factor number .

Step-1: Prime Factorization of 50926

Prime factors of 50926 are 2, 25463. Prime factorization of 50926 in exponential form is:

50926 = 2¹ × 25463¹

Step-2: Prime Factorization of 50932

Prime factors of 50932 are 2, 7, 17, 107. Prime factorization of 50932 in exponential form is:

50932 = 2² × 7¹ × 17¹ × 107¹

Step-3: Factors of 50926

List of positive integer factors of 50926 that divides 50926 without a remainder.

1, 2, 25463

Step-4: Factors of 50932

List of positive integer factors of 50932 that divides 50926 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 107, 119, 214, 238, 428, 476, 749, 1498, 1819, 2996, 3638, 7276, 12733, 25466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50926 and 50932. The biggest common factor number is the GCF number.
So the greatest common factor 50926 and 50932 is 2.

Also check out the Least Common Multiple of 50926 and 50932