What is the Greatest Common Factor of 74634 and 74648?

Greatest common factor (GCF) of 74634 and 74648 is 14.

GCF(74634,74648) = 14

We will now calculate the prime factors of 74634 and 74648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74634 and 74648.

How to find the GCF of 74634 and 74648?

We will first find the prime factorization of 74634 and 74648. After we will calculate the factors of 74634 and 74648 and find the biggest common factor number .

Step-1: Prime Factorization of 74634

Prime factors of 74634 are 2, 3, 7, 1777. Prime factorization of 74634 in exponential form is:

74634 = 2¹ × 3¹ × 7¹ × 1777¹

Step-2: Prime Factorization of 74648

Prime factors of 74648 are 2, 7, 31, 43. Prime factorization of 74648 in exponential form is:

74648 = 2³ × 7¹ × 31¹ × 43¹

Step-3: Factors of 74634

List of positive integer factors of 74634 that divides 74634 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1777, 3554, 5331, 10662, 12439, 24878, 37317

Step-4: Factors of 74648

List of positive integer factors of 74648 that divides 74634 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 43, 56, 62, 86, 124, 172, 217, 248, 301, 344, 434, 602, 868, 1204, 1333, 1736, 2408, 2666, 5332, 9331, 10664, 18662, 37324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74634 and 74648. The biggest common factor number is the GCF number.
So the greatest common factor 74634 and 74648 is 14.

Also check out the Least Common Multiple of 74634 and 74648