What is the Greatest Common Factor of 20762 and 20776?

Greatest common factor (GCF) of 20762 and 20776 is 14.

GCF(20762,20776) = 14

We will now calculate the prime factors of 20762 and 20776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20762 and 20776.

How to find the GCF of 20762 and 20776?

We will first find the prime factorization of 20762 and 20776. After we will calculate the factors of 20762 and 20776 and find the biggest common factor number .

Step-1: Prime Factorization of 20762

Prime factors of 20762 are 2, 7, 1483. Prime factorization of 20762 in exponential form is:

20762 = 2¹ × 7¹ × 1483¹

Step-2: Prime Factorization of 20776

Prime factors of 20776 are 2, 7, 53. Prime factorization of 20776 in exponential form is:

20776 = 2³ × 7² × 53¹

Step-3: Factors of 20762

List of positive integer factors of 20762 that divides 20762 without a remainder.

1, 2, 7, 14, 1483, 2966, 10381

Step-4: Factors of 20776

List of positive integer factors of 20776 that divides 20762 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 53, 56, 98, 106, 196, 212, 371, 392, 424, 742, 1484, 2597, 2968, 5194, 10388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20762 and 20776. The biggest common factor number is the GCF number.
So the greatest common factor 20762 and 20776 is 14.

Also check out the Least Common Multiple of 20762 and 20776