What is the Greatest Common Factor of 48356 and 48370?

Greatest common factor (GCF) of 48356 and 48370 is 14.

GCF(48356,48370) = 14

We will now calculate the prime factors of 48356 and 48370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48356 and 48370.

How to find the GCF of 48356 and 48370?

We will first find the prime factorization of 48356 and 48370. After we will calculate the factors of 48356 and 48370 and find the biggest common factor number .

Step-1: Prime Factorization of 48356

Prime factors of 48356 are 2, 7, 11, 157. Prime factorization of 48356 in exponential form is:

48356 = 2² × 7¹ × 11¹ × 157¹

Step-2: Prime Factorization of 48370

Prime factors of 48370 are 2, 5, 7, 691. Prime factorization of 48370 in exponential form is:

48370 = 2¹ × 5¹ × 7¹ × 691¹

Step-3: Factors of 48356

List of positive integer factors of 48356 that divides 48356 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 157, 308, 314, 628, 1099, 1727, 2198, 3454, 4396, 6908, 12089, 24178

Step-4: Factors of 48370

List of positive integer factors of 48370 that divides 48356 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 691, 1382, 3455, 4837, 6910, 9674, 24185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48356 and 48370. The biggest common factor number is the GCF number.
So the greatest common factor 48356 and 48370 is 14.

Also check out the Least Common Multiple of 48356 and 48370