What is the Greatest Common Factor of 49361 and 49374?

Greatest common factor (GCF) of 49361 and 49374 is 13.

GCF(49361,49374) = 13

We will now calculate the prime factors of 49361 and 49374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49361 and 49374.

How to find the GCF of 49361 and 49374?

We will first find the prime factorization of 49361 and 49374. After we will calculate the factors of 49361 and 49374 and find the biggest common factor number .

Step-1: Prime Factorization of 49361

Prime factors of 49361 are 13, 3797. Prime factorization of 49361 in exponential form is:

49361 = 13¹ × 3797¹

Step-2: 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-3: Factors of 49361

List of positive integer factors of 49361 that divides 49361 without a remainder.

1, 13, 3797

Step-4: Factors of 49374

List of positive integer factors of 49374 that divides 49361 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49361 and 49374. The biggest common factor number is the GCF number.
So the greatest common factor 49361 and 49374 is 13.

Also check out the Least Common Multiple of 49361 and 49374