What is the Greatest Common Factor of 48440 and 48454?

Greatest common factor (GCF) of 48440 and 48454 is 14.

GCF(48440,48454) = 14

We will now calculate the prime factors of 48440 and 48454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48440 and 48454.

How to find the GCF of 48440 and 48454?

We will first find the prime factorization of 48440 and 48454. After we will calculate the factors of 48440 and 48454 and find the biggest common factor number .

Step-1: Prime Factorization of 48440

Prime factors of 48440 are 2, 5, 7, 173. Prime factorization of 48440 in exponential form is:

48440 = 2³ × 5¹ × 7¹ × 173¹

Step-2: Prime Factorization of 48454

Prime factors of 48454 are 2, 7, 3461. Prime factorization of 48454 in exponential form is:

48454 = 2¹ × 7¹ × 3461¹

Step-3: Factors of 48440

List of positive integer factors of 48440 that divides 48440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 173, 280, 346, 692, 865, 1211, 1384, 1730, 2422, 3460, 4844, 6055, 6920, 9688, 12110, 24220

Step-4: Factors of 48454

List of positive integer factors of 48454 that divides 48440 without a remainder.

1, 2, 7, 14, 3461, 6922, 24227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48440 and 48454. The biggest common factor number is the GCF number.
So the greatest common factor 48440 and 48454 is 14.

Also check out the Least Common Multiple of 48440 and 48454