What is the Greatest Common Factor of 48692 and 48710?

Greatest common factor (GCF) of 48692 and 48710 is 2.

GCF(48692,48710) = 2

We will now calculate the prime factors of 48692 and 48710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48692 and 48710.

How to find the GCF of 48692 and 48710?

We will first find the prime factorization of 48692 and 48710. After we will calculate the factors of 48692 and 48710 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48710

Prime factors of 48710 are 2, 5, 4871. Prime factorization of 48710 in exponential form is:

48710 = 2¹ × 5¹ × 4871¹

Step-3: Factors of 48692

List of positive integer factors of 48692 that divides 48692 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

Step-4: Factors of 48710

List of positive integer factors of 48710 that divides 48692 without a remainder.

1, 2, 5, 10, 4871, 9742, 24355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48692 and 48710. The biggest common factor number is the GCF number.
So the greatest common factor 48692 and 48710 is 2.

Also check out the Least Common Multiple of 48692 and 48710