What is the Greatest Common Factor of 78472 and 78492?

Greatest common factor (GCF) of 78472 and 78492 is 4.

GCF(78472,78492) = 4

We will now calculate the prime factors of 78472 and 78492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78472 and 78492.

How to find the GCF of 78472 and 78492?

We will first find the prime factorization of 78472 and 78492. After we will calculate the factors of 78472 and 78492 and find the biggest common factor number .

Step-1: Prime Factorization of 78472

Prime factors of 78472 are 2, 17, 577. Prime factorization of 78472 in exponential form is:

78472 = 2³ × 17¹ × 577¹

Step-2: Prime Factorization of 78492

Prime factors of 78492 are 2, 3, 31, 211. Prime factorization of 78492 in exponential form is:

78492 = 2² × 3¹ × 31¹ × 211¹

Step-3: Factors of 78472

List of positive integer factors of 78472 that divides 78472 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 577, 1154, 2308, 4616, 9809, 19618, 39236

Step-4: Factors of 78492

List of positive integer factors of 78492 that divides 78472 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 211, 372, 422, 633, 844, 1266, 2532, 6541, 13082, 19623, 26164, 39246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78472 and 78492. The biggest common factor number is the GCF number.
So the greatest common factor 78472 and 78492 is 4.

Also check out the Least Common Multiple of 78472 and 78492