What is the Greatest Common Factor of 48614 and 48625?

Greatest common factor (GCF) of 48614 and 48625 is 1.

GCF(48614,48625) = 1

We will now calculate the prime factors of 48614 and 48625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48614 and 48625.

How to find the GCF of 48614 and 48625?

We will first find the prime factorization of 48614 and 48625. After we will calculate the factors of 48614 and 48625 and find the biggest common factor number .

Step-1: Prime Factorization of 48614

Prime factors of 48614 are 2, 109, 223. Prime factorization of 48614 in exponential form is:

48614 = 2¹ × 109¹ × 223¹

Step-2: Prime Factorization of 48625

Prime factors of 48625 are 5, 389. Prime factorization of 48625 in exponential form is:

48625 = 5³ × 389¹

Step-3: Factors of 48614

List of positive integer factors of 48614 that divides 48614 without a remainder.

1, 2, 109, 218, 223, 446, 24307

Step-4: Factors of 48625

List of positive integer factors of 48625 that divides 48614 without a remainder.

1, 5, 25, 125, 389, 1945, 9725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48614 and 48625. The biggest common factor number is the GCF number.
So the greatest common factor 48614 and 48625 is 1.

Also check out the Least Common Multiple of 48614 and 48625