What is the Greatest Common Factor of 79635 and 79649?

Greatest common factor (GCF) of 79635 and 79649 is 1.

GCF(79635,79649) = 1

We will now calculate the prime factors of 79635 and 79649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79635 and 79649.

How to find the GCF of 79635 and 79649?

We will first find the prime factorization of 79635 and 79649. After we will calculate the factors of 79635 and 79649 and find the biggest common factor number .

Step-1: Prime Factorization of 79635

Prime factors of 79635 are 3, 5, 5309. Prime factorization of 79635 in exponential form is:

79635 = 3¹ × 5¹ × 5309¹

Step-2: Prime Factorization of 79649

Prime factors of 79649 are 23, 3463. Prime factorization of 79649 in exponential form is:

79649 = 23¹ × 3463¹

Step-3: Factors of 79635

List of positive integer factors of 79635 that divides 79635 without a remainder.

1, 3, 5, 15, 5309, 15927, 26545

Step-4: Factors of 79649

List of positive integer factors of 79649 that divides 79635 without a remainder.

1, 23, 3463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79635 and 79649. The biggest common factor number is the GCF number.
So the greatest common factor 79635 and 79649 is 1.

Also check out the Least Common Multiple of 79635 and 79649