What is the Greatest Common Factor of 68076 and 68092?
Greatest common factor (GCF) of 68076 and 68092 is 4.
GCF(68076,68092) = 4
We will now calculate the prime factors of 68076 and 68092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68076 and 68092.
How to find the GCF of 68076 and 68092?
We will first find the prime factorization of 68076 and 68092. After we will calculate the factors of 68076 and 68092 and find the biggest common factor number .
Step-1: Prime Factorization of 68076
Prime factors of 68076 are 2, 3, 31, 61. Prime factorization of 68076 in exponential form is:
68076 = 22 × 32 × 311 × 611
Step-2: Prime Factorization of 68092
Prime factors of 68092 are 2, 29, 587. Prime factorization of 68092 in exponential form is:
68092 = 22 × 291 × 5871
Step-3: Factors of 68076
List of positive integer factors of 68076 that divides 68076 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 61, 62, 93, 122, 124, 183, 186, 244, 279, 366, 372, 549, 558, 732, 1098, 1116, 1891, 2196, 3782, 5673, 7564, 11346, 17019, 22692, 34038
Step-4: Factors of 68092
List of positive integer factors of 68092 that divides 68076 without a remainder.
1, 2, 4, 29, 58, 116, 587, 1174, 2348, 17023, 34046
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 68076 and 68092. The biggest common factor number is the GCF number.
So the greatest common factor 68076 and 68092 is 4.
Also check out the Least Common Multiple of 68076 and 68092
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