What is the Greatest Common Factor of 62440 and 62454?

Greatest common factor (GCF) of 62440 and 62454 is 14.

GCF(62440,62454) = 14

We will now calculate the prime factors of 62440 and 62454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62440 and 62454.

How to find the GCF of 62440 and 62454?

We will first find the prime factorization of 62440 and 62454. After we will calculate the factors of 62440 and 62454 and find the biggest common factor number .

Step-1: Prime Factorization of 62440

Prime factors of 62440 are 2, 5, 7, 223. Prime factorization of 62440 in exponential form is:

62440 = 2³ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 62454

Prime factors of 62454 are 2, 3, 7, 1487. Prime factorization of 62454 in exponential form is:

62454 = 2¹ × 3¹ × 7¹ × 1487¹

Step-3: Factors of 62440

List of positive integer factors of 62440 that divides 62440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 223, 280, 446, 892, 1115, 1561, 1784, 2230, 3122, 4460, 6244, 7805, 8920, 12488, 15610, 31220

Step-4: Factors of 62454

List of positive integer factors of 62454 that divides 62440 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1487, 2974, 4461, 8922, 10409, 20818, 31227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62440 and 62454. The biggest common factor number is the GCF number.
So the greatest common factor 62440 and 62454 is 14.

Also check out the Least Common Multiple of 62440 and 62454