What is the Greatest Common Factor of 62454 and 62464?

Greatest common factor (GCF) of 62454 and 62464 is 2.

GCF(62454,62464) = 2

We will now calculate the prime factors of 62454 and 62464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62454 and 62464.

How to find the GCF of 62454 and 62464?

We will first find the prime factorization of 62454 and 62464. After we will calculate the factors of 62454 and 62464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62464

Prime factors of 62464 are 2, 61. Prime factorization of 62464 in exponential form is:

62464 = 2¹⁰ × 61¹

Step-3: Factors of 62454

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

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

Step-4: Factors of 62464

List of positive integer factors of 62464 that divides 62454 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1024, 1952, 3904, 7808, 15616, 31232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62454 and 62464. The biggest common factor number is the GCF number.
So the greatest common factor 62454 and 62464 is 2.

Also check out the Least Common Multiple of 62454 and 62464