What is the Greatest Common Factor of 67750 and 67766?

Greatest common factor (GCF) of 67750 and 67766 is 2.

GCF(67750,67766) = 2

We will now calculate the prime factors of 67750 and 67766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67750 and 67766.

How to find the GCF of 67750 and 67766?

We will first find the prime factorization of 67750 and 67766. After we will calculate the factors of 67750 and 67766 and find the biggest common factor number .

Step-1: Prime Factorization of 67750

Prime factors of 67750 are 2, 5, 271. Prime factorization of 67750 in exponential form is:

67750 = 2¹ × 5³ × 271¹

Step-2: Prime Factorization of 67766

Prime factors of 67766 are 2, 31, 1093. Prime factorization of 67766 in exponential form is:

67766 = 2¹ × 31¹ × 1093¹

Step-3: Factors of 67750

List of positive integer factors of 67750 that divides 67750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 271, 542, 1355, 2710, 6775, 13550, 33875

Step-4: Factors of 67766

List of positive integer factors of 67766 that divides 67750 without a remainder.

1, 2, 31, 62, 1093, 2186, 33883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67750 and 67766. The biggest common factor number is the GCF number.
So the greatest common factor 67750 and 67766 is 2.

Also check out the Least Common Multiple of 67750 and 67766