What is the Greatest Common Factor of 77984 and 78002?

Greatest common factor (GCF) of 77984 and 78002 is 2.

GCF(77984,78002) = 2

We will now calculate the prime factors of 77984 and 78002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77984 and 78002.

How to find the GCF of 77984 and 78002?

We will first find the prime factorization of 77984 and 78002. After we will calculate the factors of 77984 and 78002 and find the biggest common factor number .

Step-1: Prime Factorization of 77984

Prime factors of 77984 are 2, 2437. Prime factorization of 77984 in exponential form is:

77984 = 2⁵ × 2437¹

Step-2: Prime Factorization of 78002

Prime factors of 78002 are 2, 43, 907. Prime factorization of 78002 in exponential form is:

78002 = 2¹ × 43¹ × 907¹

Step-3: Factors of 77984

List of positive integer factors of 77984 that divides 77984 without a remainder.

1, 2, 4, 8, 16, 32, 2437, 4874, 9748, 19496, 38992

Step-4: Factors of 78002

List of positive integer factors of 78002 that divides 77984 without a remainder.

1, 2, 43, 86, 907, 1814, 39001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77984 and 78002. The biggest common factor number is the GCF number.
So the greatest common factor 77984 and 78002 is 2.

Also check out the Least Common Multiple of 77984 and 78002