What is the Greatest Common Factor of 49675 and 49690?

Greatest common factor (GCF) of 49675 and 49690 is 5.

GCF(49675,49690) = 5

We will now calculate the prime factors of 49675 and 49690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49675 and 49690.

How to find the GCF of 49675 and 49690?

We will first find the prime factorization of 49675 and 49690. After we will calculate the factors of 49675 and 49690 and find the biggest common factor number .

Step-1: Prime Factorization of 49675

Prime factors of 49675 are 5, 1987. Prime factorization of 49675 in exponential form is:

49675 = 5² × 1987¹

Step-2: Prime Factorization of 49690

Prime factors of 49690 are 2, 5, 4969. Prime factorization of 49690 in exponential form is:

49690 = 2¹ × 5¹ × 4969¹

Step-3: Factors of 49675

List of positive integer factors of 49675 that divides 49675 without a remainder.

1, 5, 25, 1987, 9935

Step-4: Factors of 49690

List of positive integer factors of 49690 that divides 49675 without a remainder.

1, 2, 5, 10, 4969, 9938, 24845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49675 and 49690. The biggest common factor number is the GCF number.
So the greatest common factor 49675 and 49690 is 5.

Also check out the Least Common Multiple of 49675 and 49690