What is the Greatest Common Factor of 74640 and 74648?

Greatest common factor (GCF) of 74640 and 74648 is 8.

GCF(74640,74648) = 8

We will now calculate the prime factors of 74640 and 74648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74640 and 74648.

How to find the GCF of 74640 and 74648?

We will first find the prime factorization of 74640 and 74648. After we will calculate the factors of 74640 and 74648 and find the biggest common factor number .

Step-1: Prime Factorization of 74640

Prime factors of 74640 are 2, 3, 5, 311. Prime factorization of 74640 in exponential form is:

74640 = 2⁴ × 3¹ × 5¹ × 311¹

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 74640

List of positive integer factors of 74640 that divides 74640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 311, 622, 933, 1244, 1555, 1866, 2488, 3110, 3732, 4665, 4976, 6220, 7464, 9330, 12440, 14928, 18660, 24880, 37320

Step-4: Factors of 74648

List of positive integer factors of 74648 that divides 74640 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 74640 and 74648. The biggest common factor number is the GCF number.
So the greatest common factor 74640 and 74648 is 8.

Also check out the Least Common Multiple of 74640 and 74648