What is the Greatest Common Factor of 48676 and 48692?

Greatest common factor (GCF) of 48676 and 48692 is 4.

GCF(48676,48692) = 4

We will now calculate the prime factors of 48676 and 48692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48676 and 48692.

How to find the GCF of 48676 and 48692?

We will first find the prime factorization of 48676 and 48692. After we will calculate the factors of 48676 and 48692 and find the biggest common factor number .

Step-1: Prime Factorization of 48676

Prime factors of 48676 are 2, 43, 283. Prime factorization of 48676 in exponential form is:

48676 = 2² × 43¹ × 283¹

Step-2: Prime Factorization of 48692

Prime factors of 48692 are 2, 7, 37, 47. Prime factorization of 48692 in exponential form is:

48692 = 2² × 7¹ × 37¹ × 47¹

Step-3: Factors of 48676

List of positive integer factors of 48676 that divides 48676 without a remainder.

1, 2, 4, 43, 86, 172, 283, 566, 1132, 12169, 24338

Step-4: Factors of 48692

List of positive integer factors of 48692 that divides 48676 without a remainder.

1, 2, 4, 7, 14, 28, 37, 47, 74, 94, 148, 188, 259, 329, 518, 658, 1036, 1316, 1739, 3478, 6956, 12173, 24346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48676 and 48692. The biggest common factor number is the GCF number.
So the greatest common factor 48676 and 48692 is 4.

Also check out the Least Common Multiple of 48676 and 48692