What is the Greatest Common Factor of 49475 and 49488?

Greatest common factor (GCF) of 49475 and 49488 is 1.

GCF(49475,49488) = 1

We will now calculate the prime factors of 49475 and 49488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49475 and 49488.

How to find the GCF of 49475 and 49488?

We will first find the prime factorization of 49475 and 49488. After we will calculate the factors of 49475 and 49488 and find the biggest common factor number .

Step-1: Prime Factorization of 49475

Prime factors of 49475 are 5, 1979. Prime factorization of 49475 in exponential form is:

49475 = 5² × 1979¹

Step-2: Prime Factorization of 49488

Prime factors of 49488 are 2, 3, 1031. Prime factorization of 49488 in exponential form is:

49488 = 2⁴ × 3¹ × 1031¹

Step-3: Factors of 49475

List of positive integer factors of 49475 that divides 49475 without a remainder.

1, 5, 25, 1979, 9895

Step-4: Factors of 49488

List of positive integer factors of 49488 that divides 49475 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1031, 2062, 3093, 4124, 6186, 8248, 12372, 16496, 24744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49475 and 49488. The biggest common factor number is the GCF number.
So the greatest common factor 49475 and 49488 is 1.

Also check out the Least Common Multiple of 49475 and 49488