What is the Greatest Common Factor of 77048 and 77052?
Greatest common factor (GCF) of 77048 and 77052 is 4.
GCF(77048,77052) = 4
We will now calculate the prime factors of 77048 and 77052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77048 and 77052.
How to find the GCF of 77048 and 77052?
We will first find the prime factorization of 77048 and 77052. After we will calculate the factors of 77048 and 77052 and find the biggest common factor number .
Step-1: Prime Factorization of 77048
Prime factors of 77048 are 2, 9631. Prime factorization of 77048 in exponential form is:
77048 = 23 × 96311
Step-2: Prime Factorization of 77052
Prime factors of 77052 are 2, 3, 6421. Prime factorization of 77052 in exponential form is:
77052 = 22 × 31 × 64211
Step-3: Factors of 77048
List of positive integer factors of 77048 that divides 77048 without a remainder.
1, 2, 4, 8, 9631, 19262, 38524
Step-4: Factors of 77052
List of positive integer factors of 77052 that divides 77048 without a remainder.
1, 2, 3, 4, 6, 12, 6421, 12842, 19263, 25684, 38526
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77048 and 77052. The biggest common factor number is the GCF number.
So the greatest common factor 77048 and 77052 is 4.
Also check out the Least Common Multiple of 77048 and 77052
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