What is the Greatest Common Factor of 78025 and 78040?

Greatest common factor (GCF) of 78025 and 78040 is 5.

GCF(78025,78040) = 5

We will now calculate the prime factors of 78025 and 78040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78025 and 78040.

How to find the GCF of 78025 and 78040?

We will first find the prime factorization of 78025 and 78040. After we will calculate the factors of 78025 and 78040 and find the biggest common factor number .

Step-1: Prime Factorization of 78025

Prime factors of 78025 are 5, 3121. Prime factorization of 78025 in exponential form is:

78025 = 5² × 3121¹

Step-2: Prime Factorization of 78040

Prime factors of 78040 are 2, 5, 1951. Prime factorization of 78040 in exponential form is:

78040 = 2³ × 5¹ × 1951¹

Step-3: Factors of 78025

List of positive integer factors of 78025 that divides 78025 without a remainder.

1, 5, 25, 3121, 15605

Step-4: Factors of 78040

List of positive integer factors of 78040 that divides 78025 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1951, 3902, 7804, 9755, 15608, 19510, 39020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78025 and 78040. The biggest common factor number is the GCF number.
So the greatest common factor 78025 and 78040 is 5.

Also check out the Least Common Multiple of 78025 and 78040