What is the Greatest Common Factor of 49619 and 49628?

Greatest common factor (GCF) of 49619 and 49628 is 1.

GCF(49619,49628) = 1

We will now calculate the prime factors of 49619 and 49628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49619 and 49628.

How to find the GCF of 49619 and 49628?

We will first find the prime factorization of 49619 and 49628. After we will calculate the factors of 49619 and 49628 and find the biggest common factor number .

Step-1: Prime Factorization of 49619

Prime factors of 49619 are 29, 59. Prime factorization of 49619 in exponential form is:

49619 = 29² × 59¹

Step-2: Prime Factorization of 49628

Prime factors of 49628 are 2, 19, 653. Prime factorization of 49628 in exponential form is:

49628 = 2² × 19¹ × 653¹

Step-3: Factors of 49619

List of positive integer factors of 49619 that divides 49619 without a remainder.

1, 29, 59, 841, 1711

Step-4: Factors of 49628

List of positive integer factors of 49628 that divides 49619 without a remainder.

1, 2, 4, 19, 38, 76, 653, 1306, 2612, 12407, 24814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49619 and 49628. The biggest common factor number is the GCF number.
So the greatest common factor 49619 and 49628 is 1.

Also check out the Least Common Multiple of 49619 and 49628