What is the Greatest Common Factor of 69752 and 69766?

Greatest common factor (GCF) of 69752 and 69766 is 2.

GCF(69752,69766) = 2

We will now calculate the prime factors of 69752 and 69766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69752 and 69766.

How to find the GCF of 69752 and 69766?

We will first find the prime factorization of 69752 and 69766. After we will calculate the factors of 69752 and 69766 and find the biggest common factor number .

Step-1: Prime Factorization of 69752

Prime factors of 69752 are 2, 8719. Prime factorization of 69752 in exponential form is:

69752 = 2³ × 8719¹

Step-2: Prime Factorization of 69766

Prime factors of 69766 are 2, 34883. Prime factorization of 69766 in exponential form is:

69766 = 2¹ × 34883¹

Step-3: Factors of 69752

List of positive integer factors of 69752 that divides 69752 without a remainder.

1, 2, 4, 8, 8719, 17438, 34876

Step-4: Factors of 69766

List of positive integer factors of 69766 that divides 69752 without a remainder.

1, 2, 34883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69752 and 69766. The biggest common factor number is the GCF number.
So the greatest common factor 69752 and 69766 is 2.

Also check out the Least Common Multiple of 69752 and 69766