What is the Greatest Common Factor of 79940 and 79954?

Greatest common factor (GCF) of 79940 and 79954 is 14.

GCF(79940,79954) = 14

We will now calculate the prime factors of 79940 and 79954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79940 and 79954.

How to find the GCF of 79940 and 79954?

We will first find the prime factorization of 79940 and 79954. After we will calculate the factors of 79940 and 79954 and find the biggest common factor number .

Step-1: Prime Factorization of 79940

Prime factors of 79940 are 2, 5, 7, 571. Prime factorization of 79940 in exponential form is:

79940 = 2² × 5¹ × 7¹ × 571¹

Step-2: Prime Factorization of 79954

Prime factors of 79954 are 2, 7, 5711. Prime factorization of 79954 in exponential form is:

79954 = 2¹ × 7¹ × 5711¹

Step-3: Factors of 79940

List of positive integer factors of 79940 that divides 79940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 571, 1142, 2284, 2855, 3997, 5710, 7994, 11420, 15988, 19985, 39970

Step-4: Factors of 79954

List of positive integer factors of 79954 that divides 79940 without a remainder.

1, 2, 7, 14, 5711, 11422, 39977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79940 and 79954. The biggest common factor number is the GCF number.
So the greatest common factor 79940 and 79954 is 14.

Also check out the Least Common Multiple of 79940 and 79954