What is the Greatest Common Factor of 78748 and 78762?

Greatest common factor (GCF) of 78748 and 78762 is 2.

GCF(78748,78762) = 2

We will now calculate the prime factors of 78748 and 78762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78748 and 78762.

How to find the GCF of 78748 and 78762?

We will first find the prime factorization of 78748 and 78762. After we will calculate the factors of 78748 and 78762 and find the biggest common factor number .

Step-1: Prime Factorization of 78748

Prime factors of 78748 are 2, 19687. Prime factorization of 78748 in exponential form is:

78748 = 2² × 19687¹

Step-2: Prime Factorization of 78762

Prime factors of 78762 are 2, 3, 13127. Prime factorization of 78762 in exponential form is:

78762 = 2¹ × 3¹ × 13127¹

Step-3: Factors of 78748

List of positive integer factors of 78748 that divides 78748 without a remainder.

1, 2, 4, 19687, 39374

Step-4: Factors of 78762

List of positive integer factors of 78762 that divides 78748 without a remainder.

1, 2, 3, 6, 13127, 26254, 39381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78748 and 78762. The biggest common factor number is the GCF number.
So the greatest common factor 78748 and 78762 is 2.

Also check out the Least Common Multiple of 78748 and 78762