What is the Greatest Common Factor of 51548 and 51562?

Greatest common factor (GCF) of 51548 and 51562 is 14.

GCF(51548,51562) = 14

We will now calculate the prime factors of 51548 and 51562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51548 and 51562.

How to find the GCF of 51548 and 51562?

We will first find the prime factorization of 51548 and 51562. After we will calculate the factors of 51548 and 51562 and find the biggest common factor number .

Step-1: Prime Factorization of 51548

Prime factors of 51548 are 2, 7, 263. Prime factorization of 51548 in exponential form is:

51548 = 2² × 7² × 263¹

Step-2: Prime Factorization of 51562

Prime factors of 51562 are 2, 7, 29, 127. Prime factorization of 51562 in exponential form is:

51562 = 2¹ × 7¹ × 29¹ × 127¹

Step-3: Factors of 51548

List of positive integer factors of 51548 that divides 51548 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 263, 526, 1052, 1841, 3682, 7364, 12887, 25774

Step-4: Factors of 51562

List of positive integer factors of 51562 that divides 51548 without a remainder.

1, 2, 7, 14, 29, 58, 127, 203, 254, 406, 889, 1778, 3683, 7366, 25781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51548 and 51562. The biggest common factor number is the GCF number.
So the greatest common factor 51548 and 51562 is 14.

Also check out the Least Common Multiple of 51548 and 51562