What is the Greatest Common Factor of 49374 and 49380?

Greatest common factor (GCF) of 49374 and 49380 is 6.

GCF(49374,49380) = 6

We will now calculate the prime factors of 49374 and 49380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49374 and 49380.

How to find the GCF of 49374 and 49380?

We will first find the prime factorization of 49374 and 49380. After we will calculate the factors of 49374 and 49380 and find the biggest common factor number .

Step-1: Prime Factorization of 49374

Prime factors of 49374 are 2, 3, 13, 211. Prime factorization of 49374 in exponential form is:

49374 = 2¹ × 3² × 13¹ × 211¹

Step-2: Prime Factorization of 49380

Prime factors of 49380 are 2, 3, 5, 823. Prime factorization of 49380 in exponential form is:

49380 = 2² × 3¹ × 5¹ × 823¹

Step-3: Factors of 49374

List of positive integer factors of 49374 that divides 49374 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 211, 234, 422, 633, 1266, 1899, 2743, 3798, 5486, 8229, 16458, 24687

Step-4: Factors of 49380

List of positive integer factors of 49380 that divides 49374 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 823, 1646, 2469, 3292, 4115, 4938, 8230, 9876, 12345, 16460, 24690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49374 and 49380. The biggest common factor number is the GCF number.
So the greatest common factor 49374 and 49380 is 6.

Also check out the Least Common Multiple of 49374 and 49380