What is the Greatest Common Factor of 78748 and 78765?

Greatest common factor (GCF) of 78748 and 78765 is 1.

GCF(78748,78765) = 1

We will now calculate the prime factors of 78748 and 78765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78748 and 78765.

How to find the GCF of 78748 and 78765?

We will first find the prime factorization of 78748 and 78765. After we will calculate the factors of 78748 and 78765 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 78765

Prime factors of 78765 are 3, 5, 59, 89. Prime factorization of 78765 in exponential form is:

78765 = 3¹ × 5¹ × 59¹ × 89¹

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 78765

List of positive integer factors of 78765 that divides 78748 without a remainder.

1, 3, 5, 15, 59, 89, 177, 267, 295, 445, 885, 1335, 5251, 15753, 26255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78748 and 78765. The biggest common factor number is the GCF number.
So the greatest common factor 78748 and 78765 is 1.

Also check out the Least Common Multiple of 78748 and 78765