What is the Greatest Common Factor of 53680 and 53692?

Greatest common factor (GCF) of 53680 and 53692 is 4.

GCF(53680,53692) = 4

We will now calculate the prime factors of 53680 and 53692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53680 and 53692.

How to find the GCF of 53680 and 53692?

We will first find the prime factorization of 53680 and 53692. After we will calculate the factors of 53680 and 53692 and find the biggest common factor number .

Step-1: Prime Factorization of 53680

Prime factors of 53680 are 2, 5, 11, 61. Prime factorization of 53680 in exponential form is:

53680 = 2⁴ × 5¹ × 11¹ × 61¹

Step-2: Prime Factorization of 53692

Prime factors of 53692 are 2, 31, 433. Prime factorization of 53692 in exponential form is:

53692 = 2² × 31¹ × 433¹

Step-3: Factors of 53680

List of positive integer factors of 53680 that divides 53680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 61, 80, 88, 110, 122, 176, 220, 244, 305, 440, 488, 610, 671, 880, 976, 1220, 1342, 2440, 2684, 3355, 4880, 5368, 6710, 10736, 13420, 26840

Step-4: Factors of 53692

List of positive integer factors of 53692 that divides 53680 without a remainder.

1, 2, 4, 31, 62, 124, 433, 866, 1732, 13423, 26846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53680 and 53692. The biggest common factor number is the GCF number.
So the greatest common factor 53680 and 53692 is 4.

Also check out the Least Common Multiple of 53680 and 53692