What is the Greatest Common Factor of 49619 and 49629?

Greatest common factor (GCF) of 49619 and 49629 is 1.

GCF(49619,49629) = 1

We will now calculate the prime factors of 49619 and 49629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49619 and 49629.

How to find the GCF of 49619 and 49629?

We will first find the prime factorization of 49619 and 49629. After we will calculate the factors of 49619 and 49629 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 49629

Prime factors of 49629 are 3, 71, 233. Prime factorization of 49629 in exponential form is:

49629 = 3¹ × 71¹ × 233¹

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 49629

List of positive integer factors of 49629 that divides 49619 without a remainder.

1, 3, 71, 213, 233, 699, 16543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49619 and 49629. The biggest common factor number is the GCF number.
So the greatest common factor 49619 and 49629 is 1.

Also check out the Least Common Multiple of 49619 and 49629