What is the Greatest Common Factor of 71988 and 72002?

Greatest common factor (GCF) of 71988 and 72002 is 14.

GCF(71988,72002) = 14

We will now calculate the prime factors of 71988 and 72002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71988 and 72002.

How to find the GCF of 71988 and 72002?

We will first find the prime factorization of 71988 and 72002. After we will calculate the factors of 71988 and 72002 and find the biggest common factor number .

Step-1: Prime Factorization of 71988

Prime factors of 71988 are 2, 3, 7, 857. Prime factorization of 71988 in exponential form is:

71988 = 2² × 3¹ × 7¹ × 857¹

Step-2: Prime Factorization of 72002

Prime factors of 72002 are 2, 7, 37, 139. Prime factorization of 72002 in exponential form is:

72002 = 2¹ × 7¹ × 37¹ × 139¹

Step-3: Factors of 71988

List of positive integer factors of 71988 that divides 71988 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 857, 1714, 2571, 3428, 5142, 5999, 10284, 11998, 17997, 23996, 35994

Step-4: Factors of 72002

List of positive integer factors of 72002 that divides 71988 without a remainder.

1, 2, 7, 14, 37, 74, 139, 259, 278, 518, 973, 1946, 5143, 10286, 36001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71988 and 72002. The biggest common factor number is the GCF number.
So the greatest common factor 71988 and 72002 is 14.

Also check out the Least Common Multiple of 71988 and 72002