What is the Greatest Common Factor of 78986 and 79003?

Greatest common factor (GCF) of 78986 and 79003 is 1.

GCF(78986,79003) = 1

We will now calculate the prime factors of 78986 and 79003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78986 and 79003.

How to find the GCF of 78986 and 79003?

We will first find the prime factorization of 78986 and 79003. After we will calculate the factors of 78986 and 79003 and find the biggest common factor number .

Step-1: Prime Factorization of 78986

Prime factors of 78986 are 2, 73, 541. Prime factorization of 78986 in exponential form is:

78986 = 2¹ × 73¹ × 541¹

Step-2: Prime Factorization of 79003

Prime factors of 79003 are 199, 397. Prime factorization of 79003 in exponential form is:

79003 = 199¹ × 397¹

Step-3: Factors of 78986

List of positive integer factors of 78986 that divides 78986 without a remainder.

1, 2, 73, 146, 541, 1082, 39493

Step-4: Factors of 79003

List of positive integer factors of 79003 that divides 78986 without a remainder.

1, 199, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78986 and 79003. The biggest common factor number is the GCF number.
So the greatest common factor 78986 and 79003 is 1.

Also check out the Least Common Multiple of 78986 and 79003