What is the Greatest Common Factor of 78638 and 78645?

Greatest common factor (GCF) of 78638 and 78645 is 7.

GCF(78638,78645) = 7

We will now calculate the prime factors of 78638 and 78645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78638 and 78645.

How to find the GCF of 78638 and 78645?

We will first find the prime factorization of 78638 and 78645. After we will calculate the factors of 78638 and 78645 and find the biggest common factor number .

Step-1: Prime Factorization of 78638

Prime factors of 78638 are 2, 7, 41, 137. Prime factorization of 78638 in exponential form is:

78638 = 2¹ × 7¹ × 41¹ × 137¹

Step-2: Prime Factorization of 78645

Prime factors of 78645 are 3, 5, 7, 107. Prime factorization of 78645 in exponential form is:

78645 = 3¹ × 5¹ × 7² × 107¹

Step-3: Factors of 78638

List of positive integer factors of 78638 that divides 78638 without a remainder.

1, 2, 7, 14, 41, 82, 137, 274, 287, 574, 959, 1918, 5617, 11234, 39319

Step-4: Factors of 78645

List of positive integer factors of 78645 that divides 78638 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 107, 147, 245, 321, 535, 735, 749, 1605, 2247, 3745, 5243, 11235, 15729, 26215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78638 and 78645. The biggest common factor number is the GCF number.
So the greatest common factor 78638 and 78645 is 7.

Also check out the Least Common Multiple of 78638 and 78645