What is the Greatest Common Factor of 49374 and 49387?

Greatest common factor (GCF) of 49374 and 49387 is 13.

GCF(49374,49387) = 13

We will now calculate the prime factors of 49374 and 49387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49374 and 49387.

How to find the GCF of 49374 and 49387?

We will first find the prime factorization of 49374 and 49387. After we will calculate the factors of 49374 and 49387 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 49387

Prime factors of 49387 are 13, 29, 131. Prime factorization of 49387 in exponential form is:

49387 = 13¹ × 29¹ × 131¹

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 49387

List of positive integer factors of 49387 that divides 49374 without a remainder.

1, 13, 29, 131, 377, 1703, 3799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49374 and 49387. The biggest common factor number is the GCF number.
So the greatest common factor 49374 and 49387 is 13.

Also check out the Least Common Multiple of 49374 and 49387